Question

if tanA = n / n+1 and tanB = 1 / 2n+1 then prove that tan(A+B) = 1​

Answer 1

see the attachment for the answer and follow me if it helps you

Answer 2

Answer:

Step-by-step explanation:

Since tan(A+B)=tanA+tanB/(1-tanAtanB)

Since TanAtanB=n/(n+1)(2n+1)

And tanA+tanB=n/(n+1)+1/(2n+1)

=[n(2n+1)+n+1]/(n+1)(2n+1)

Replacing this in the question, you will get 1